Multishell solutions of the spherically symmetric Einstein-Dirac system are constructed for 2, 6, 12, and 20 fermions.
MGD Dirac stars
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abstract
The method of geometric deformation (MGD) is here employed to study compact stellar configurations, which are solutions of the effective Einstein-Dirac coupled field equations on fluid branes. Non-linear, self-interacting, fermionic fields are then employed to derive MGD Dirac stars, whose properties are analyzed and discussed. The MGD Dirac star maximal mass is shown to increase as an specific function of the spinor self-interaction coupling constant, in a realistic model involving the most strict phenomenological current bounds for the brane tension.
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Multishell Dirac fermions in the Einstein-Dirac system
Multishell solutions of the spherically symmetric Einstein-Dirac system are constructed for 2, 6, 12, and 20 fermions.